Question

please help with part a-d

(1996) Problem 7: A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R - 3.1 10' m. The mass of the planet is M=7.6 x 1024 kg tatus for lew Otheexperta.com mpleted mpleted mpleted empleted ompleted ompleted F- 25% Part (a) Express the magnitude of the gravitational force F in terms of MR, the gravitational constant G, and the mass m of the satellite Grade Summary Deductions Potential 100% Late Work % 70% Late Potential 704 Submissions Attempts rema (39 perempt etile view P0 Hint Feedback I give up! Hints:0 deduction per hint. Hints remaining 1 Feedback: 0% deduction per feedback - 259 Part (1) Express the magnitude of the centripetal acceleration a, of the satellite in terms of the speed of the satellite vand 25% Part (c) Express the speed v in terms of G, M and R. 25 Part (d) Calculate the numerical value of v, in m/s

Answer 1

a)

F = GM m / R^2

b)

F = m v^2 / R

c)

G M m / R^2 = m v^2 / R

v^2 = GM/ R

v = sqrt ( GM / R)

d)

v = sqrt ( 6.67* 10^-11* 7.6* 10^24 / ( 3.1* 10^7))

v = 4043.8 m/s

========

Comment before rate in case any doubt, will reply for sure.. goodluck